Chris,
I would recommend getting a guided rod system like a Lansky or DMT Aligner and setting a back bevel at 15 or 17 degrees per side and a micro-bevel at 20 degrees per side.
We need to be clear on definitions. Pictures will help.
These pictures can be used to describe the entire blade grind, or the edge geometry near the cutting apex. In terms of the overall blade grind, your knife is currently like #3. There is a flat section near the spine and the primary grind to the edge is flat on both sides.
But, we need to talk about what is going near your edge bevel. Currently, at the edge, your edge geometry looks something like #3 again, only instead of it being flat, the primary grind comes down to the edge at a shallow angle and then you have a crisp 'V' cutting edge at a steeper angle. Just making up the numbers here but your primary blade grind might be at 9 degrees per side and your cutting edge might be at 20 degrees per side. With a traditional 'V' edge geometry, there is a very clear and distinct transition or "shoulder" where the primary grind stops and the cutting 'V' edge begins.
As I understand how the term gets used, a so-called 0 grind is one that doesn't have a distinct shoulder near the cutting edge.
One way to do this are to use a true, full flat grind that extends all the way to the cutting apex. This would look like #2 and it would take significant amount of stock removal from your current blade and it would also leave you with a very, very thin blade near the edge. So thin that you should be concerned with edge stability. This sort of grind might make sense for high end kitchen knives but I think most people consider it too frail for EDC and camping use, as you describe.
Another way to do this is use a so-called Scandi grind. This would look like #3 in terms of the primary grind. The difference from this and what is on your knife is that you would need to "sharpen" the entire primary grind. I don't think your Hinderer was designed for this. The Mora Companion has an edge angle of around 13 degrees per side and this leaves a much taller flat section and a much shorter primary grind that what is on your Hinderer. I would think that given how shallow your primary grind is, you would end up with a super thin and fragile edge.
Another and more common approach is to put a "convex" edge on your blade. Near the cutting apex, it would look more like #6 with no pronounced or visible transition from the primary bevel to the cutting apex. People who talk about sharpening using a mouse pad are going for this. Most people who use convex edges report better edge stability and better slicing. I agree with this.
I'm going to recommend something different though. I would recommend you get a guided rod sharpening system with diamond stones. I'm referring here to a system like the Lansky or DMT aligner. I would then recommend that you put on an aggressive
back bevel to thin the edge. The result near the cutting edge will end up looking like #5 above. So, if your primary grind is 9dps and your cutting apex angle is 20dps, you could set your back bevel to something like 17dps.
I found that using an aggressive back bevel gives nearly all of the advantages of a true convex edge but offers the advantage of being easy to achieve and maintain on a guided rod system.